Asymptotes and Rationals

Question

What is a function that has x-intercepts at x = 3 and x = −5, vertical asymptotes at x = 8 and x = −2, and a horizontal asymptote at y = 2?

Answer 1

f(x) = 2(x-3)(x+5)/(x-8)(x+2)

is a function that has vertical asymptotes x= -2 and x= 8

horizontal asymptote y =2

and

x intercepts 3 and -5